Advertisements
Advertisements
Question
Take away:
\[\frac{2}{3}ac - \frac{5}{7}ab + \frac{2}{3}bc\text { from } \frac{3}{2}ab - \frac{7}{4}ac - \frac{5}{6}bc\]
Advertisements
Solution
The difference is given by:
\[\left( \frac{3}{2}ab - \frac{7}{4}ac - \frac{5}{6}bc \right) - \left( \frac{2}{3}ac - \frac{5}{7}ab + \frac{2}{3}bc \right)\]
\[ = \frac{3}{2}ab-\frac{7}{4}ac-\frac{5}{6}bc-\frac{2}{3}ac+\frac{5}{7}ab-\frac{2}{3}bc\]
\[= \frac{3}{2}ab + \frac{5}{7}ab - \frac{7}{4}ac - \frac{2}{3}ac - \frac{5}{6}bc - \frac{2}{3}bc\] (Collecting like terms )
= \[\left( \frac{21 + 10}{14} \right)ab + \left( \frac{- 21 - 8}{12} \right)ac + \left( \frac{- 5 - 4}{6} \right)bc\]
\[=\frac{31}{14}ab-\frac{29}{12}ac-\frac{3}{2}bc\] (Combining like terms )
APPEARS IN
RELATED QUESTIONS
State whether a given pair of term is of like or unlike term.
1,100
State whether a given pair of term is of like or unlike term.
`-7x, 5/2 x`
Take away:
\[\frac{y^3}{3} + \frac{7}{3} y^2 + \frac{1}{2}y + \frac{1}{2} \text { from } \frac{1}{3} - \frac{5}{3} y^2\]
Find the product of the terms
3x2y , −3xy3, x2y2
Identify the like terms among the following:
7x, 5y, −8x, 12y, 6z, z, −12x, −9y, 11z
Sum or difference of two like terms is ______.
3a2b and –7ba2 are ______ terms.
In like terms, variables and their powers are the same.
Which set contains unlike terms?
Which option correctly identifies a constant and a variable?
